Let us evaluate the logical consistency of the options:
Option (a) ABF:
- A: No attendants are qualified.
- B: Some nurses are qualified.
- F: Some attendants are qualified.
There is a direct contradiction between A and F. If A says no attendants are qualified, then F saying some attendants are qualified is invalid. Hence, this option is inconsistent.
Option (b) CDF:
- C: Some nurses are not qualified.
- D: All nurses are attendants.
- F: Some attendants are qualified.
Let us analyze this:
- If all nurses are attendants (D), and some nurses are not qualified (C), it implies some attendants are not qualified.
- But F says some attendants are qualified — this does not contradict C or D.
- Therefore, all three can be true simultaneously. This option is logically consistent.
Option (c) BDF:
- B: Some nurses are qualified.
- D: All nurses are attendants.
- F: Some attendants are qualified.
While these statements don’t contradict each other, they don't offer a strong logical link. There is no definitive conclusion or relationship binding all three together. So, it is weaker than option (b).
Option (d) BDE:
- B: Some nurses are qualified.
- D: All nurses are attendants.
- E: All attendants are qualified.
Here, D and E together would imply that all nurses (being attendants) are qualified. But B only says "some nurses are qualified", which contradicts the derived conclusion. So this set is logically inconsistent.
Final Decision: Option (b) CDF is the only set with clear logical compatibility and progression.